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xeze [42]
2 years ago
8

Find the equation for the line that passes through the point (2, -3), and that is parallel to the line with the equation x - 3y

= 3
Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

Step-by-step explanation:

the slope of a line is the factor of x, when the equating looks like

y = ...

so,

x - 3y = 3

x = 3y + 3

3y = x - 3

y = 1/3 x - 1

so, the original slope is 1/3.

a parallel line has the same slope.

having a specific point we can use the point-slope form as equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

y - -3 = 1/3(x - 2)

y + 3 = 1/3(x - 2)

simplified that is

y + 3 = 1/3 x - 2/3

y = 1/3 x - 2/3 - 3 = 1/3 x - 2/3 - 9/3 = 1/3 x - 11/3 =

= 1/3 × (x - 11)

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PLS HELP> is this a examples of speed velocity and acceleration. a plane flying 300 mi/hr west toward California
rusak2 [61]

Answer:

No

Step-by-step explanation:

Speed: 300 mi/hr, Gives how fast you go

Velocity: 300 mi/hr west, includes speed and direction

Acceleration: No, it does not say a starting speed or if it was a constant speed.

Hope this helps :)

7 0
4 years ago
Read 2 more answers
Find the value of a?
Inga [223]
Answer:
a=9

Explanation:
The triangle is a 45-45-90 triangle, so the sides have a 1-1-root 2 ratio. So, if 9 root 2 is to root 2, then find a to 1. You can solve this by setting up the ratio and solving for a:
a/1=9root2/root2
a/1=9
a=9
7 0
4 years ago
When 50 mL of water is added, the graduated cylinder has a mass of 180 g. If a rook is added to the graduated cylinder, the wate
Bezzdna [24]

Answer:

2.25 (or \frac{9}{4}) g/mL

<u>Skills needed: Density</u>

Step-by-step explanation:

1) Briefly, let's cover what density is:

- It is \frac{mass}{volume}

- Measures the mass per unit of volume

- In this situation the formula for density is: \frac{m_f-m_i}{v_f-v_i}

---> m_f is the final mass

---> m_i is the initial mass

---> v_f is the final volume

---> v_i is the initial volume

2) In this case, we start out with a mass of 180 grams as stated in the problem, and also 50 mL of water initially.

This means that:

- m_i is 180 g

- v_i is 50 mL

3) Also, we end up with 270 g in mass, and 90 mL of water finally.

- m_f is 270g

- v_f is 90 mL

4) We can find density by substitute given the values above:

\frac{270-180}{90-50} = \frac{90}{40} = \frac{9}{4} \text{ or } 2.25

5) Our answer is 2.25 g/mL (since mass is grams (g), and volume is milliliters (mL) in the problem above).

3 0
3 years ago
Read 2 more answers
A. Diameter <br> B. Tangent <br> C. Chord <br> D. Secant
meriva
Secant

A secant is a straight line that cuts a curve in two or more parts; intercepts the circle twice
A tangent intercepts the circle once
A diameter goes straight through the center point, cutting the circle in half
A cord is straight line segments whose endpoints lie on the circular arc
6 0
3 years ago
Find the Relative Change in the values of the function f(x) = x3 + 2 between x = 1 and x = 2.5 Enter your answer accurate to thr
ehidna [41]

Answer:

9.750

Step-by-step explanation:

formula for average rate of change is ;

f(b)- f(a)/b- a

here a = 1 and b = 2.5

f(b) = (2.5)^3 + 2 = 17.625

f(a) = 1^3+ 2 = 3

using the formula above, we have it that

(17.625-3)/2.5-1 = 9.750

4 0
3 years ago
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